Use our free GCF of Fractions Calculator tool to compute the GCF of 7424/790, 1019/4553 i.e 1/3596870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7424/790, 1019/4553.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7424/790,1019/4553
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7424/790,1019/4553, numerators are 7424,1019
Denominators are 790,4553
The GCF of 7424,1019 is 1 .
LCM of 790,4553 is 3596870.
The greatest common factor of 7424/790,1019/4553 = [GCF of 7424,1019]/[LCM of 790,4553]= 1/3596870
Therefore, the GCF of 7424/790,1019/4553 is 1/3596870.
To find the highest common factor of 7424,1019, we have to find the factors of both numbers and list the highest common factor.
The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424
The factors of 1019 are 1, 1019
The HCF of 7424,1019 is 1.
Lets's calculate GCF of 7424,1019
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7424
:1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424
Now, list down the factors of 1019
:1,1019
Greatest Common Factor
We found the factors 7424,1019 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,1019 is 1.
Lets's calculate LCM of 790,4553
Given numbers has no common factors except 1. So, there LCM is their product i.e 3596870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3596870
Therefore, the GCF of Fractions 7424/790,1019/4553 is 1/3596870
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 790,4553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,4553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,4553) x common factors =1 x 1 = 1
LCM(790,4553) = ( 790 × 4553 ) / 1
LCM(790,4553) = 3596870 / 1
LCM(790,4553) = 3596870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7424,1019?
The HCF of 7424,1019 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7424/790, 1019/4553?
Answer: GCF of Numerators as per given numbers 7424/790, 1019/4553 is
GCF of Numerators i.e. for 7424,1019 is 1
LCM of denominators i.e. for 790,4553 is 3596870.
Thus, GCF of Fractions is 1/3596870.Finally, GCF of Fractions for 7424/790, 1019/4553 is 1/3596870.